What is the Greatest Common Factor of 63435 and 63441?

Greatest common factor (GCF) of 63435 and 63441 is 3.

GCF(63435,63441) = 3

We will now calculate the prime factors of 63435 and 63441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63435 and 63441.

How to find the GCF of 63435 and 63441?

We will first find the prime factorization of 63435 and 63441. After we will calculate the factors of 63435 and 63441 and find the biggest common factor number .

Step-1: Prime Factorization of 63435

Prime factors of 63435 are 3, 5, 4229. Prime factorization of 63435 in exponential form is:

63435 = 3¹ × 5¹ × 4229¹

Step-2: Prime Factorization of 63441

Prime factors of 63441 are 3, 7, 19, 53. Prime factorization of 63441 in exponential form is:

63441 = 3² × 7¹ × 19¹ × 53¹

Step-3: Factors of 63435

List of positive integer factors of 63435 that divides 63435 without a remainder.

1, 3, 5, 15, 4229, 12687, 21145

Step-4: Factors of 63441

List of positive integer factors of 63441 that divides 63435 without a remainder.

1, 3, 7, 9, 19, 21, 53, 57, 63, 133, 159, 171, 371, 399, 477, 1007, 1113, 1197, 3021, 3339, 7049, 9063, 21147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63435 and 63441. The biggest common factor number is the GCF number.
So the greatest common factor 63435 and 63441 is 3.

Also check out the Least Common Multiple of 63435 and 63441